40829590400741 has 2 divisors, whose sum is σ = 40829590400742. Its totient is φ = 40829590400740.

The previous prime is 40829590400707. The next prime is 40829590400749. The reversal of 40829590400741 is 14700409592804.

40829590400741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39298731076900 + 1530859323841 = 6268870^2 + 1237279^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-40829590400741 is a prime.

It is a super-2 number, since 2×40829590400741² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40829590400749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20414795200370 + 20414795200371.

It is an arithmetic number, because the mean of its divisors is an integer number (20414795200371).

Almost surely, 2^{40829590400741} is an apocalyptic number.

It is an amenable number.

40829590400741 is a deficient number, since it is larger than the sum of its proper divisors (1).

40829590400741 is an equidigital number, since it uses as much as digits as its factorization.

40829590400741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 40829590400741 in words is "forty trillion, eight hundred twenty-nine billion, five hundred ninety million, four hundred thousand, seven hundred forty-one".